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Finding the Fourth Proportional to 4,819.50, 7,227.80 and 2,046.12

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Solution

The fourth proportional to 4,819.50, 7,227.80 and 2,046.12 is: 3,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.50 : 7,227.80 = 2,046.12 : x
  2. Step 2: Convert to fraction form
    4,819.50/7,227.80 = 2,046.12/x
  3. Step 3: Cross multiply
    4,819.50x = 7,227.80 × 2,046.12
  4. Step 4: Simplify right side
    4,819.50x = 14,788,946.14
  5. Step 5: Solve for x
    x = 14,788,946.14/4,819.50
  6. Step 6: Final answer
    x = 3,068.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.